# Piecewise Functions - 1

Calculus Level 2

Let a function $$f: \mathbb{R} \rightarrow \mathbb{R}$$ be defined as:

$f(x) = \begin{cases} x + 2, & \text{if } x \leq a \\ x^2+ 5x + 6, & \text{if } x > a. \end{cases}$

Find the value of $$a$$ such that $$f$$ is continuous for all real values of $$x$$.

This problem is part of the set - Piecewise-defined Functions

×